Step-by-step explanation:
g(x)=1/3(x-6)^2+1
The graph of this function is in the attachment
Answer: The volume of given substance is 
.
Step-by-step explanation:
Given: Density = 10.7 
Mass = 23.54 g
Density of a substance is the mass of substance divided by its volume.
Mathematically, 
Substitute the values into above formula to calculate volume as follows.
Thus, we can conclude that the volume of given substance is .
Don't hate me if I'm wrong but I think the first one is 76 but I couldn't find out the second line.
Answer:
f(x) = 2(x –3)²
Step-by-step explanation:
f(x) = 2x² – 12x + 18
The vertex form of the above expression can be obtained as follow:
f(x) = 2x² – 12x + 18
Factorise
f(x) = 2(x² – 6x + 9)
Next, we shall simplify x² – 6x + 9 by factorisation method.
This is illustrated below:
x² – 6x + 9
Multiply the first term i.e x² and last term i.e 9 together. The result is 9x².
Next, find two factors of 9x² such that their sum will result to the 2nd term i.e –6x in the expression above.
The factors are –3x and –3x
Next, replace –6x with –3x and –3x in the equation above as shown below:
x² – 6x + 9
x² – 3x –3x + 9
Factorise
x(x – 3) –3(x –3)
(x –3)(x –3)
(x –3)²
f(x) = 2x² – 12x + 18
f(x) = 2(x² – 6x + 9)
f(x) = 2(x –3)²
Therefore, the vertex form of the function f(x) = 2x² – 12x + 18 is
f(x) = 2(x –3)²
Answer:
C) 4
Step-by-step explanation:
Given equation:
The above equation represents proportional relationship.
To find the constant of proportionality.
Solution:
<em>The equation representing proportional relationship is given by:</em>
<em>
</em>
<em>where 
represents constant of proportionality.</em>
So, in order to find the value of for the given proportionality relationship, we will solve for 
We have:
Solving for
Dividing both sides by 2.
∴ 
Thus, the constant of proportionality = 4.
